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Finding the Fourth Proportional to 5,017.66, 6,923.81 and 2,778.97

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Solution

The fourth proportional to 5,017.66, 6,923.81 and 2,778.97 is: 3,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.66 : 6,923.81 = 2,778.97 : x
  2. Step 2: Convert to fraction form
    5,017.66/6,923.81 = 2,778.97/x
  3. Step 3: Cross multiply
    5,017.66x = 6,923.81 × 2,778.97
  4. Step 4: Simplify right side
    5,017.66x = 19,241,046.38
  5. Step 5: Solve for x
    x = 19,241,046.38/5,017.66
  6. Step 6: Final answer
    x = 3,834.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.